Advanced Analysis II: Isoclines Method

Covers the stability analysis of ODEs using numerical methods and discusses stability conditions.

Introduces differential forms on manifolds, covering tangent bundles and intersection pairings.

Explores meromorphic functions, poles, residues, orders, divisors, and the Riemann-Roch theorem.

Covers the differentiability of functions of multiple variables and the significance of directional derivatives and gradients.

Explores direction fields, Euler methods, and differential equations through practical exercises and stability analysis.